There are 25% more yellow stickers than grey stickers in a bag. After Mark removed 20% of the yellow stickers and increased the number of grey stickers by 30%, there are now 24 fewer yellow stickers than grey stickers. Find the number of grey stickers at first.
|
Yellow |
Grey |
Before |
5 u |
4 u |
Change |
- 1 u |
+ 1.2 u |
After |
4 u |
5.2 u |
Number of yellow stickers in percentage
= 100% + 25%
= 125%
125% =
125100 =
54Number of yellow stickers that Mark removed
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of grey stickers that Mark increased
= 30% x 4 u
=
30100 x 4 u
= 1.2 u
Number of yellow stickers in the end
= 5 u - 1 u
= 4 u
Number of grey stickers in the end
= 4 u + 1.2 u
= 5.2 u
Number of fewer yellow stickers than grey stickers in the end
= 5.2 u - 4 u
= 1.2 u
1.2 u = 24
1 u = 24 ÷ 1.2 = 20
Number of grey stickers at first
= 4 u
= 4 x 20
= 80
Answer(s): 80